Right-hander Chad Durbin, the best remaining free-agent reliever, is not without offers. But after making the playoffs three straight years with the Phillies, Durbin wants to continue playing for a competitive team.

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His offers thus far are from projected non-contenders, according to major league sources. Durbin, 33, is holding out for a club with a better chance to reach the postseason, and two or three such teams are showing interest, sources say.

The Rays are the most notable contender still looking for bullpen help, but their interest in Durbin is not known. The Marlins, Brewers and Twins are among the other contenders that may want to add another reliever.

Durbin posted a 3.62 ERA in his three seasons with the Phillies, though his opponents’ OPS increased in each of the past two years. Phillies general manager Ruben Amaro Jr. said recently that the team is “probably not” going to re-sign Durbin.